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380319300 = 2237523747
BaseRepresentation
bin10110101010110…
…011011001000100
3222111122020000000
4112222303121010
51234330204200
6101423321300
712265442424
oct2652633104
9874566000
10380319300
11185753579
12a7450230
1360a4060a
1438720484
15235c7300
hex16ab3644

380319300 has 288 divisors, whose sum is σ = 1298250240. Its totient is φ = 96577920.

The previous prime is 380319293. The next prime is 380319301. The reversal of 380319300 is 3913083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380319301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8091877 + ... + 8091923.

Almost surely, 2380319300 is an apocalyptic number.

380319300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380319300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649125120).

380319300 is an abundant number, since it is smaller than the sum of its proper divisors (917930940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380319300 is a wasteful number, since it uses less digits than its factorization.

380319300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 380319300 is about 19501.7768421239. The cubic root of 380319300 is about 724.5184594656.

The spelling of 380319300 in words is "three hundred eighty million, three hundred nineteen thousand, three hundred".